Law I models an isotropic convergent relay burden. At equilibrium its vector resultant cancels while its scalar pressure remains. A material boundary interrupts part of that angular distribution; Law III prices the resulting imbalance from the projected occlusion geometry.
Evenly — unless something blocks a part of it. Occlusion — one body blocking part of the pressure converging on another, so the unblocked side wins — matters because that imbalance is every force in this theory. Blocking is not a side-effect here. Blocking is the work.
What does the catching? A form. The proton is a loop of moving substance tied as a trefoil — a knot of three crossings, the simplest loop that cannot be undone without cutting; topology, the study of shape that survives bending, matters here because an untieable knot is a particle that cannot decay away. Follow the path and you cross six arcs: under, over, under, over, under, over.
The current tube-volume construction maps 6π⁵ electron closure volumes into the W=3 torus. That count is numerically close to the proton-to-electron mass ratio, but the physical map consumes the declared packing count and is therefore recorded as a shared-input construction, not an independent prediction of the ratio.
Bring two forms together and ask what binding is. Not glue. Gearing. A proton and a neutron — a proton carrying one electron inside — mesh at their rims, and the rims are narrow: the poloidal flow allows only a small window of contact, so angle is the premium, not area. For the windows to mesh at all, neighbours must turn in opposite senses — proton one way, neutron the other. Complementary, or grinding.
Spin the meshed pair fast and each knot blurs into the tight ring it truly occupies at speed. Meshed, they work parallel, in synchrony — but hear this exactly: the total movement of entwined parts is identical to their movement apart. Every part spends its whole budget at c, meshed or free; nothing is saved, nothing is lost, and no bookkeeping can find a missing tick. The only thing that can differ — the only thing there is to differ — is how the pair answers the arriving flood together: their cooperative resistance to drag. Two forms meshed answer the push as one built thing, and the resistance of the union is not the sum of the resistances of its parts. That difference has a value. Hold that thought.
Here is the question this page exists to answer: when two forms interleave without interfering, whose width is the shared region? It belongs to neither separately. Any measure that assumes each nucleon keeps a private, separable width must fail for bound nucleons — and the literature's "charge radius" assumed exactly that, on top of assuming a charge-substance the theory does not contain. It doesn't compute. It never could.
The projected-union diagnostic counts an overlapped region once. Subtracting that union from the sum of isolated projections defines ΔA. It was proposed as a proxy for the resistance change on assembly. NSEQ04 then tested the rule on the active dual-tetra packing: it retains a total-binding correlation but fails the binding-energy-per-nucleon observable. The diagnostic remains useful for inspecting geometry; it is not the established mass-defect law.
The alpha — two proton–neutron pairs — sits at the centre as four interleaved poles turning on one shared axis. Around it, satellites take the most-spread positions opposition allows: one lone valence riding above (lithium); a tense dyad at opposite poles, chasing each other around the core (beryllium); then trigonal, then tetrahedral — carbon's four deuterons standing where its chemistry says they should — then the five-fold bipyramid, the octahedron, and so on, until twelve close the icosahedral shell and the next shell opens. The 720° rule — a closed shell must carry exactly 720 degrees of angular defect — is why twelve sixty-degree caps close a sphere, why the wire model pulls itself into a bowl, and why nuclei want to be round.
CALIBRATED(1) On the active NSEQ04 packing, κ = 31.4485 MeV/fm² is fitted once across the registered corpus.
COMPUTED The resulting total-binding correlation is R² = 0.7918 with mean absolute relative error 40.4%. The per-nucleon score is R² = −161.94, so the registered gate is not met.
EXCLUDED Projected shadow area is not promoted as the binding law. The active open work is the target-free contact/lock wall and circulation-reorganisation account; the 2.20079 MeV deuteron result is a separate handed occlusion computation and must not be used to rescue this area fit.